Quant Quiz on Time And Work For SBI PO,SBI Clerk,SSC CGL Exams

1. A and
B together can complete a piece of work in 18 days, B and C in 24 days and A and C in 36 days. In how many days, will all
of them together complete the work?

A. 16
cm

B. 15
cm

C. 12
cm

D. 10 cm

2. A and
B can do a piece of work in 72 days, B and C can do it in 120 days, and A and C
can do it in 90 days. When A, B and C work together, how much work is finished
by them in 3 days.

A. 1/40

B. 1/30

C. 1/20

D. 1/10

3. A can
complete 2/3 of a work in 4 days and B can complete 3/5 of the work in 6 days.
In how many days can both A and B together complete the work?

A. 3

B. 2

C. 3
¾

D. 2
7/8

4. A, B
and C can do a piece of work in 15, 20 and 24 days respectively. If they get R.
76 as the total wages, find the share of C.

A. Rs.30

B. Rs.
40

C. Rs.
20

D. Rs.
24

5. A
alone can complete a work in 18 days and B alone in 15 days. B alone worked at
it for 10 days and then left the work. In how many more days, will A alone
complete the remaining work?

A. 5

B. 5
½

C. 6

D. 8

6. A
takes twice as much time as B and thrice as much time as C to finish a piece of
work. Working together, they can finish the work in 2 days. The number of days
required by B to do the work alone is

A. 4

B. 6

C. 8

D. 12

7.
Working efficiency of P and Q for completing a piece of work are in the ratio 3
: 4. The number of days to be taken by them to complete the work will be in
ratio:

A. 3 :
2

B. 2 :
3

C. 3 :
4

D. 4 :
3

8. A is
50% as efficient as B, C does half of the work done by A and B together. If C
alone does the work in 20 days, then A, B and C together can do work in

A. 5 2/3
days

B. 6 2/3
days

C. 6
days

D. 7
days

9. If 10
men or 18 boys can do a work in 15 days, then the number of days required by 15
men and 33 boys to do twice the work is

A. 9

B. 36

C. 4
½

D. 8

10. If 12
men or 18 women can reap a field in 14 days, then working at the same rate, 8
men and 16 women can reap the same field in:

A. 9
days

B. 5
days

C. 7
days

D. 8
days

Answers With Explanation:

1. A.

Work done by A and B in 1 day = 1/18

Work done by B and C in 1 day = 1/24

Work done by C and A in 1 day = 1/36

so Work done by 2(A, B and C) in 1 day = 1/18 +
1/24 + 1/36 = 9/72

so Work done by A, B and C in 1 day = 9/(72*2)
= 9/144 = 1/16

so all of them together complete the work in 16
days.

2. C.

Work done by (A + B) in 1 day = 1/72

Work done by (B + C) in 1 day = 1/120

Work done by (C + A) in 1 day = 1/90

so Work done by 2(A + B + C) in 1 day = 1/72 +
1/120 + 1/90 = 1/30

so Work done by (A + B + C) in 1 day =
1/(30*2) = 1/60

so Work done by (A + B + C) in 3 day = = 1/60
*3 = 1/20

3. C.

A can complete 2/3 of a work in 4 days

A can complete the whole of a work in (4*3)/2 =
6 days

Similarly B can complete the whole of a work in
(6*5)/3 = 10 days

So Work done by A and B in 1 day = 1/6 + 1/10 =
4/15

So Days taken by A and B to complete the whole
work = 15/4 = 3(3/4)

4. C.

Ratio of share of A,B C = ratio of 1 day's work

= 1/15 : 1/20 : 1/24

= 120*1/15:120*1/20 :
120*1/24 = 8:6:5

so sum of ratio terms = 8+6+5 = 19

So the share of C = 76*5/19 = Rs.20

5. C.

6. B.

Let B take x day to finish the work.

so A take 2x days and C takes 2x/3 days

so 1/2x + 1/x + 1/(2x/3) = 1/2

so x = 6

so The number of days required by B = 6 days

7. D.

8. B.

9. A.

10 men = 18 boys => 5 men = 9 boys => 15
men = 27 boys

15 men and 33 boys = 27 boys + 33 boys = 60
boys

so 18 boys can do a work in 15 days......I

Let 60 boys can do twice work in x days.....II

so (18*15)/1 = (60*x)/2 => x = 9 days

10. A

Quant Quiz on Time And Work For SBI PO,SBI Clerk,SSC CGL Exams
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